# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 585 - 591 of 968

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## Question 585

### Question

MCQ▾

The sum of the fourth term and the six term of an ascending A. P. is 50 and the product of the third term by the fifth term is 200. Find the sum of the first ten terms of this A. P

### Choices

Choice (4)Response

a.

392.5

b.

529.5

c.

292.5

d.

492.5

## Question 586

### Question

MCQ▾

In an A. P. , the sum of first n terms is , find its term

### Choices

Choice (4)Response

a.

76

b.

79

c.

75

d.

78

## Question 587

### Question

MCQ▾

Four numbers are inserted between the numbers 10 and 40 such that an A. P. results. Find the biggest of these four numbers.

### Choices

Choice (4)Response

a.

35

b.

39

c.

38

d.

34

## Question 588

### Question

MCQ▾

If the sum of three consecutive terms of an increasing A. P. is 18 and the product of the first and third of these terms is 35, then the third term is ________

### Choices

Choice (4)Response

a.

12

b.

3

c.

0

d.

7

## Question 589

### Question

MCQ▾

If Belongs to A. P. such that , then the value of equals ________

### Choices

Choice (4)Response

a.

6116

b.

1308

c.

2400

d.

1900

## Question 590

### Question

MCQ▾

If the term of an A. P. is and term is , then the terms is ________

### Choices

Choice (4)Response

a.

2

b.

4

c.

3

d.

1

## Question 591

### Question

MCQ▾

If Belongs to A. P. such that , then the value of equals ________

### Choices

Choice (4)Response

a.

1654

b.

1325

c.

4582

d.

1840